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Finding the Fourth Proportional to 630.26, 945.38 and 161.73

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Solution

The fourth proportional to 630.26, 945.38 and 161.73 is: 242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.26 : 945.38 = 161.73 : x
  2. Step 2: Convert to fraction form
    630.26/945.38 = 161.73/x
  3. Step 3: Cross multiply
    630.26x = 945.38 × 161.73
  4. Step 4: Simplify right side
    630.26x = 152,895.46
  5. Step 5: Solve for x
    x = 152,895.46/630.26
  6. Step 6: Final answer
    x = 242.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.